Magnetic resonance imaging of velocity fields, the void fraction and gas dynamics in a cavitating liquid

In acoustic cavitation, the relationship between the bubble dynamics on the microscale and the flow properties on the macroscale is critical in determining sonochemical reaction kinetics. A new technique was developed to measure the void fraction and estimate water mobility in the vicinity of cavitating bubbles using phase-encoded magnetic resonance imaging with short characteristic measurement timescales (0.1–1 ms). The exponential behavior of the NMR signal decay indicated the fast diffusion regime, with the relationship between local mechanical dispersion D _mix and the average bubble radius R, D_mix >> \frac2R²10^-4s, D_{\rm mix}\gg \frac{2R^2}{10^{-4}\hbox{s}}, resulting in dispersion of orders of magnitude greater than diffusion in quiescent water. For two different samples (water and a surfactant solution), the independent measurements of three-dimensional void fraction and velocity fields permitted the calculation of compressibility, divergence and vorticity of the cavitating medium. The measured dynamics of the dissolved gas, compared with that of the surrounding liquid, reflected the difference in the bubble coalescence and lifetimes and correlated with the macroscopic flow parameters.     

Separation of Coadjoint Orbits of Generalized Diamond Lie Groups

Mathematical Notes - Let $$G$$ be a type I connected and simply connected generalized diamond Lie group defined as the semidirect product of a $$d$$ -dimensional Abelian Lie group $$N$$ with...     

Sur les distributions covariantes dans les algèbres de Lie réductives

We study the possibility of factoring a covariant distribution on reductive Lie algebras as finite sum of products of an invariant distribution by a covariant polynomial.     

Synthesis of Mannich bases of 5-hydroxynapthalene-1,8-carbolactone as potential antifungal or antitumor agents

Mannich bases of 5-hydroxynaphthalene-1,8-carbolactone 1 were prepared from various secondary amines or bulky primary amines and formaldehyde. They were isolated in almost all cases as hydrochlorides. These derivatives were submitted to in vitro antifungal and cytotoxic assays. The antifungal assays were performed against three strains of yeasts and five strains of human pathogenic fungi. Two of the tested compounds, 2i and 2j, exhibited interesting antifungal activities against Candida albicans and Candida tropicalis. The cytotoxic activity was evaluated towards L 1210 leukemia cells. Almost all of the Mannich bases had shown significant activity against this tumor cell line as values of IC50 less than or equal to 4 micrograms/ml are considered interesting. Only one derivative 2 developed better cytotoxicity than the parent compound 1.     

Sur les représentations des groupes de Lie réductifs non connexes

Sans résumé     

Microwave-accelerated multicomponent synthesis and X-ray characterization of novel benzothiadiazinone dioxide derivatives,analogues of Monastrol

Research on Chemical Intermediates - We demonstrate here a rapid and comfortable synthetic sequence to benzothiadiazinone dioxide (six-membered cyclic sulfamide) derivatives, analogues of...     

Regiospecific synthesis of pyrido[3,4-b]- and pyrido[4,3-b]carbazole-5,11-dione derivatives. Evaluation of their in vitro antifungal or antiprotozoological activities.

Hetero Diels-Alder reactions between 2- or 3-bromocarbazolequinones 1a or 1b and azadiene 5 afford regiospecifically pyrido[3,4-b]- and pyrido[4,3-b]carbazole-3,5,11-triones 6a and 6b. The regiochemistry of the cycloadditions is controlled by the position of the bromine atom at C-2 or C-3 of the bromoquinone. The corresponding N- and O-methyl derivatives 7 and 8 are prepared. Structural assignment of the regioisomers is made by 1H-NMR nuclear Overhauser effect difference experiments performed on a diacetoxy derivative of pyrido[4,3-b]carbazole 9b. The in vitro antifungal and antiprotozoological activities of some prepared derivatives have been evaluated against Candida albicans, Candida krusei, Cryptococcus neoformans and Trichomonas vaginalis. None of the tested compounds have shown significant activity towards the yeasts or protozoa.     

Cosserat continuum modelling of grain size effects in metal polycrystals

The global response of polycrystalline aggregates is investigated, in order to simulate grain size effects in IF ferritic steels. The mechanics of generalized continua is used to describe the studied phenomena. The polycrystal is regarded as a heterogeneous Cosserat medium, and the overall properties are estimated using a specific homogenization technique. To illustrate the capabilities of the model, some simple bidimensionnal computations are presented for different grain sizes. Afterwards tridimensionnal computations are shown in order to extract the global effect on the mechanical behaviour for grain sizes ranging from 5 µm to 120 µm. The finite element response is harder for the smallest grain size, but the model still underestimate the grain size effect on the tensile response. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)